Scattering behaviour of quantum vector fields obtained from Euclidean covariant SPDEs

1999 ◽  
Vol 44 (1-2) ◽  
pp. 21-28 ◽  
Author(s):  
Sergio Albeverio ◽  
Hanno Gottschalk ◽  
Jiang-Lun Wu
Keyword(s):  
2019 ◽  
Author(s):  
Vitaly Kuyukov

The main problem of the theory of the emergence of space-time is that how to restore the Minkowsky geometry from the original quantum structures. In this paper, we consider the reverse reaction, obtaining space-time from quantum vector fields, similarly to the electric and magnetic fields in the Maxwell equation. In addition, time itself is split into components in three-dimensional space in the form of an inductive quantum field.


2000 ◽  
Vol 174 (1) ◽  
pp. 167-207
Author(s):  
Claas Becker
Keyword(s):  

2010 ◽  
Vol 07 (04) ◽  
pp. 599-623 ◽  
Author(s):  
DANIEL CANARUTTO

In the context of Covariant Quantum Mechanics for a spin particle, we classify the "quantum vector fields", i.e. the projectable Hermitian vector fields of a complex bundle of complex dimension 2 over spacetime. Indeed, we prove that the Lie algebra of quantum vector fields is naturally isomorphic to a certain Lie algebra of functions of the classical phase space, called "special phase functions". This result provides a covariant procedure to achieve the quantum operators generated by the quantum vector fields and the corresponding observables described by the special phase functions.


2014 ◽  
Vol E97.C (7) ◽  
pp. 661-669
Author(s):  
Ying YAN ◽  
Xunwang ZHAO ◽  
Yu ZHANG ◽  
Changhong LIANG ◽  
Zhewang MA

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